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Finding the Fourth Proportional to 117.86, 176.91 and 53.78

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Solution

The fourth proportional to 117.86, 176.91 and 53.78 is: 80.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.86 : 176.91 = 53.78 : x
  2. Step 2: Convert to fraction form
    117.86/176.91 = 53.78/x
  3. Step 3: Cross multiply
    117.86x = 176.91 × 53.78
  4. Step 4: Simplify right side
    117.86x = 9,514.22
  5. Step 5: Solve for x
    x = 9,514.22/117.86
  6. Step 6: Final answer
    x = 80.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.